1997
DOI: 10.1006/jcis.1996.4591
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The Critical Coagulation Concentration of Counterions: Spherical Particles in Asymmetric Electrolyte Solutions

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Cited by 39 publications
(40 citation statements)
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“…The Schulze‐Hardy rule is a well‐known relation on colloidal dispersions between the critical coagulation concentration (CCC) and ionic valency of added electrolytes. The CCC of counterions is found to be inversely proportional to the sixth power of its valence . The rule suggests that the coagulation ability of electrolytes containing high valence counterions (HVCI, such as divalent or trivalent ions) is much higher than that of monovalent electrolytes.…”
Section: Introductionmentioning
confidence: 96%
“…The Schulze‐Hardy rule is a well‐known relation on colloidal dispersions between the critical coagulation concentration (CCC) and ionic valency of added electrolytes. The CCC of counterions is found to be inversely proportional to the sixth power of its valence . The rule suggests that the coagulation ability of electrolytes containing high valence counterions (HVCI, such as divalent or trivalent ions) is much higher than that of monovalent electrolytes.…”
Section: Introductionmentioning
confidence: 96%
“…CCC=constant/ z 6 , where z is the charge on the counter ion. For z=1,2 and 3 the ratio of the CCCs are 1/1 6 (1), 1/2 6 (0.016) and 1/3 6 (0.0014), respectively [18][19][20][21][22]. Based on this concept, we proposed a novel ceramic forming method called direct coagulation casting via controlled release of high valence counter ions (DCC-HVCI) with a combination of the DLVO theory and the Schulze-Hardy rule.…”
Section: Introductionmentioning
confidence: 99%
“…For counter ions of valences 3, 2, and 1, this rule suggests that the CCC ratio is 3 −6 :2 −6 :1 −6 , or roughly, 1:11:729. The Schulze–Hardy rule can be interpreted by DLVO theory, which considers the electrostatic repulsion force and the van der Waals attraction force between two interacting particles . A high solid‐loading suspension with a low viscosity can hardly be obtained in the presence of HVCI.…”
Section: Introductionmentioning
confidence: 99%